This is a two-week thematic program with a focus on recent developments in Teichmüller theory which promise to be fertile in the near future. These includeThe metric theory of Teichmüller spaces and other spaces, including the recent breakthroughs in the Thurston metric.Higher Teichmüller theory, and its interplay with Higgs bundles, algebraic geometry and Anosov representations.The Teichmüller theory of infinite-type surfaces, including their quasiconformal theory and what is known as the ``big" mapping class group.Relations with anti-de Sitter geometry.The techniques for these areas come from complex analysis, hyperbolic geometry, dynamics, partial differential equations, projective geometry, geometric and combinatorial group theory, algebraic geometry, Kähler geometry and other fields — these often give several points of view on the same objects showing the richness of the theory.The workshop will consist of a series of mini-courses (with lectures typically totalling 3 hours) toget...
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